Search Results - "Perez, Lazaro J."

Evaluation of particle tracking codes for dispersing particles in porous media by Berghouse, Marc, Miele, Filippo, Perez, Lazaro J., Bordoloi, Ankur Deep, Morales, Verónica L., Parashar, Rishi

“…Particle tracking (PT) is a popular technique in microscopy, microfluidics and colloidal transport studies, where image analysis is used to reconstruct…”
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Functions of bounded variation, the derivative of the one dimensional maximal function, and applications to inequalities by Aldaz, J. M., Lázaro, J. Pérez

“…We prove that if f:I\subset \mathbb{R}\to \mathbb{R} is of bounded variation, then the uncentered maximal function Mf is absolutely continuous, and its…”
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Upscaling of Mixing‐Limited Bimolecular Chemical Reactions in Poiseuille Flow by Perez, Lazaro J., Hidalgo, Juan J., Dentz, Marco

“…We consider the fast irreversible bimolecular chemical reaction A+B→C in the Poiseuille flow through a channel, in which A displaces B. This system allows to…”
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Contributions of biofilm-induced flow heterogeneities to solute retention and anomalous transport features in porous media by Perez, Lazaro J., Parashar, Rishi, Plymale, Andrew, Scheibe, Timothy D.

“…•We integrate experimental biofilm images of Paenibacillus 300A strain with mathematical modeling.•Bioflm is represented as a synthetic porous structure with…”
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Reactive Random Walk Particle Tracking and Its Equivalence With the Advection‐Diffusion‐Reaction Equation by Perez, Lazaro J., Hidalgo, Juan J., Dentz, Marco

“…We present a reactive random walk particle‐tracking approach to describe bimolecular chemical reactions and show its equivalence with the…”
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Effective dispersion coefficients for the upscaling of pore-scale mixing and reaction by Puyguiraud, Alexandre, Perez, Lazaro J., Hidalgo, Juan J., Dentz, Marco

“…•Definition and quantification of effective dispersion for pore-scale mixing.•Dispersive lamella approach based on effective dispersion upscales and predicts…”
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Behavior of weak type bounds for high dimensional maximal operators defined by certain radial measures by Aldaz, J. M., Pérez Lázaro, J.

“…As shown in Aldaz (Bull. Lond. Math. Soc. 39:203–208, 2007), the lowest constants appearing in the weak type (1, 1) inequalities satisfied by the centered…”
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Boundedness and unboundedness results for some maximal operators on functions of bounded variation by Aldaz, J.M., Pérez Lázaro, J.

“…We characterize the space BV ( I ) of functions of bounded variation on an arbitrary interval I ⊂ R , in terms of a uniform boundedness condition satisfied by…”
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Assessment and Prediction of Pore‐Scale Reactive Mixing From Experimental Conservative Transport Data by Perez, Lazaro J., Hidalgo, Juan J., Puyguiraud, Alexandre, Jiménez‐Martínez, Joaquín, Dentz, Marco

“…We investigate the impact of pore‐scale heterogeneity on reactive mixing using experimental data from inert fluid‐fluid displacement in a quasi 2‐D porous…”
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Upscaling Mixing-Controlled Reactions in Unsaturated Porous Media by Perez, Lazaro J., Puyguiraud, Alexandre, Hidalgo, Juan J., Jiménez-Martínez, Joaquín, Parashar, Rishi, Dentz, Marco

“…We study mixing-controlled chemical reactions in unsaturated porous media from a pore-scale perspective. The spatial heterogeneity induced by the presence of…”
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On Gagliardo–Nirenberg Type Inequalities by Kolyada, V. I., Pérez Lázaro, F. J.

“…We present a Gagliardo–Nirenberg inequality which bounds Lorentz norms of a function by Sobolev norms and homogeneous Besov quasinorms with negative…”
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Impact of confined geometries on hopping and trapping of motile bacteria in porous media by Perez, Lazaro J, Bhattacharjee, Tapomoy, Datta, Sujit S, Parashar, Rishi, Sund, Nicole L

“…We use a random walk particle-tracking (RWPT) approach to elucidate the impact of porous media confinement and cell-cell interactions on bacterial transport…”
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Effectiveness assessment of otosclerosis surgery by Pérez-Lázaro, J. J., Urquiza, R., Cabrera, A., Guerrero, C., Navarro, E.

“…Conclusions.The epidemiological characteristics of otosclerosis and its treatment in Andalusia resemble those of other populations with similar socioeconomic…”
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Optimal Bounds on the Modulus of Continuity of the Uncentered Hardy–Littlewood Maximal Function by Aldaz, J. M., Colzani, L., Pérez Lázaro, J.

“…We obtain sharp bounds for the modulus of continuity of the uncentered maximal function in terms of the modulus of continuity of the given function, via…”
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A note on extreme cases of Sobolev embeddings by PEREZ LAZARO, F. J

“…We study the spaces of functions on R n for which the generalized partial derivatives D k r k f exist and belong to different Lorentz spaces L p k , s k . For…”
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Contributions of biofilm-induced flow heterogeneities to solute retention and anomalous transport features in porous media by Perez, Lazaro J., Parashar, Rishi, Plymale, Andrew, Scheibe, Timothy D.

“…We report that microbial biofilms are ubiquitous within porous media and the dynamics of their growth influence surface and subsurface flow patterns which…”
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Solute transport prediction in heterogeneous porous media using random walks and machine learning by Perez, Lazaro J., Bebis, George, McKenna, Sean A., Parashar, Rishi

“…Solute transport processes in heterogeneous porous media have been traditionally studied through the parameterization of macroscale properties using upscaling…”
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Inequalities for Partial Moduli of Continuity and Partial Derivatives by Kolyada, V. I., Pérez Lázaro, F. J.

“…We obtain pointwise and integral type estimates of higher-order partial moduli of continuity in C via partial derivatives. Also, a Gagliardo–Nirenberg type…”
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Effective removal of arsenic from contaminated groundwater using an iron-based metal-organic framework by Dechdacho, Porraket, Howard, Saige, Hershey, Ronald L., Parashar, Rishi, Perez, Lazaro J.

“…This study investigates the potential of an iron-based metal–organic framework (MOF) material, Fe-benzene-1,3,5-tricarboxylate (Fe-BTC), for arsenic removal…”
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Weak-Type Lower Bounds for High-Dimensional Hardy–Littlewood Maximal Operators on Certain Measures via Averaging Operators by Pérez Lázaro, F. J.

“…Consider R d with the euclidean distance, and let 0 < α < 1 . We study the behavior of the averaging operators given by the radial density d μ ( x ) = | x | -…”
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